Stabilization of Delayed Fuzzy Neutral-type Systems Under Intermittent Control

This study is concerned about the stabilization for delayed fuzzy neutral-type system (DFNTS) with uncertain parameters under intermittent control. Firstly, by constructing the augmented Lyapunov-Krasovskii functional (LKF) about different time delays along with single and double auxillary function-...

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Published inInternational journal of control, automation, and systems Vol. 19; no. 3; pp. 1408 - 1425
Main Authors Vadivel, R., Saravanan, S., Unyong, B., Hammachukiattikul, P., Hong, Keum-Shik, Lee, Gyu M.
Format Journal Article
LanguageEnglish
Published Bucheon / Seoul Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers 01.03.2021
Springer Nature B.V
제어·로봇·시스템학회
Subjects
Control
Engineering
Fuzzy systems
Linear matrix inequalities
Mechatronics
Parameter uncertainty
Regular Papers
Robot arms
Robotics
Robustness (mathematics)
Stabilization
제어계측공학
Global asymptotic stability
time-varying delay
Lyapunov-Krasovskii functional
intermittent control
linear matrix inequality
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Summary:This study is concerned about the stabilization for delayed fuzzy neutral-type system (DFNTS) with uncertain parameters under intermittent control. Firstly, by constructing the augmented Lyapunov-Krasovskii functional (LKF) about different time delays along with single and double auxillary function-based integral inequalities (SAFBII, and DAFBII, respectively), a new class of delay-dependent adequate conditions are proposed, so that the robust fuzzy neutral-type system under consideration is guaranteed to be globally asymptotically stable (GAS). Secondly, the intermittent control (IC) is introduced to stabilize the system with mixed time-varying delays. In the view of inferred adequate conditions, the IC parameters are determined as for the arrangement of linear matrix inequalities (LMIs). It is noted that the strategies exploited in this work are apart from the other methods engaged in the literature, and the proposed conditions are less conservative. Finally, numerical examples are given to demonstrate the effectiveness of the developed techniques in this work. One of the practical applications is single-link robot arm (SLRA) model to show the viability and benefits of the structured intermittent control.
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http://link.springer.com/article/10.1007/s12555-020-0526-2
ISSN:1598-6446
2005-4092
DOI:10.1007/s12555-020-0526-2